57536400 has 60 divisors (see below), whose sum is σ = 184312112. Its totient is φ = 15342720.

The previous prime is 57536399. The next prime is 57536419. The reversal of 57536400 is 463575.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22774 + ... + 25173.

Almost surely, 2^57536400 is an apocalyptic number.

57536400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57536400 is an abundant number, since it is smaller than the sum of its proper divisors (126775712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57536400 is a wasteful number, since it uses less digits than its factorization.

57536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47968 (or 47957 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57536400 is about 7585.2752092459. The cubic root of 57536400 is about 386.0535600014.

Adding to 57536400 its reverse (463575), we get a palindrome (57999975).

The spelling of 57536400 in words is "fifty-seven million, five hundred thirty-six thousand, four hundred".